You should know Super Glue adheres more strongly if you add a little water before applying it.
Super Glue adheres nearly instantly when it comes in contact with the hydroxyl ions in water. When this happens, the molecules form chains that make a very strong and durable plastic mesh that eventually hardens. Thanks to the fact that an amazing amount of materials out there have some trace amount of water at their surface, in part due to water in the air, adding water to these objects is typically not necessary, though it will help create a stronger bond if you add some before applying the Super Glue. This is easily done with a spray bottle filled with water and set to mist.